Finding the Fourth Proportional to 2,095.75, 2,892.14 and 1,164.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,095.75 : 2,892.14 = 1,164.25 : x
2. Step 2: Convert to fraction form
   2,095.75/2,892.14 = 1,164.25/x
3. Step 3: Cross multiply
   2,095.75x = 2,892.14 × 1,164.25
4. Step 4: Simplify right side
   2,095.75x = 3,367,174.00
5. Step 5: Solve for x
   x = 3,367,174.00/2,095.75
6. Step 6: Final answer
   x = 1,606.67